Lena will donate up to $\$ 440$ to charity. The money will be divided between two charities: the City Youth Fund and the Educational Growth Foundation. Lena would like the amount donated to the Educational Growth Foundation to be at least twice the amount donated to the City Youth Fund. Let $x$ denote the amount of money (in dollars) donated to the City Youth Fund. Let $y$ denote the amount of money (in dollars) donated to the Educational Growth Foundation. Shade the region corresponding to all values of $x$ and $y$ that satisfy these requirements.

Step 1 ：Given that Lena will donate up to $440 to charity, we can write this as an inequality: \(x + y \leq 440\). This represents the total amount of money that Lena will donate.

Step 2 ：We also know that Lena would like the amount donated to the Educational Growth Foundation to be at least twice the amount donated to the City Youth Fund. This can be written as: \(y \geq 2x\). This represents the condition that the amount donated to the Educational Growth Foundation is at least twice the amount donated to the City Youth Fund.

Step 3 ：To find the region that satisfies both of these conditions, we can graph these inequalities on the same set of axes. The region that satisfies both conditions is the region where the graphs of both inequalities overlap.

Step 4 ：Draw the graph of \(x + y \leq 440\). This is a straight line with a negative slope that passes through the points (0, 440) and (440, 0).

Step 5 ：Draw the graph of \(y \geq 2x\). This is a straight line with a positive slope that passes through the origin (0, 0).

Step 6 ：The region that satisfies both conditions is the region above the line \(y = 2x\) and below the line \(x + y = 440\).

Step 7 ：So, the shaded region in the graph represents all values of \(x\) and \(y\) that satisfy these requirements.